Title
Deep Subspace Clustering
Abstract
In this article, we propose a deep extension of sparse subspace clustering, termed deep subspace clustering with L1-norm (DSC-L1). Regularized by the unit sphere distribution assumption for the learned deep features, DSC-L1 can infer a new data affinity matrix by simultaneously satisfying the sparsity principle of SSC and the nonlinearity given by neural networks. One of the appealing advantages brought by DSC-L1 is that when original real-world data do not meet the class-specific linear subspace distribution assumption, DSC-L1 can employ neural networks to make the assumption valid with its nonlinear transformations. Moreover, we prove that our neural network could sufficiently approximate the minimizer under mild conditions. To the best of our knowledge, this could be one of the first deep-learning-based subspace clustering methods. Extensive experiments are conducted on four real-world data sets to show that the proposed method is significantly superior to 17 existing methods for subspace clustering on handcrafted features and raw data.
Year
DOI
Venue
2020
10.1109/TNNLS.2020.2968848
IEEE Transactions on Neural Networks and Learning Systems
Keywords
DocType
Volume
Least square regression (LSR) clustering,low-rank representation (LRR),sparse subspace clustering (SSC),subspace clustering
Journal
31
Issue
ISSN
Citations 
12
2162-237X
3
PageRank 
References 
Authors
0.38
33
5
Name
Order
Citations
PageRank
xi peng1966.39
Jiashi Feng22165140.81
Joey Tianyi Zhou335438.60
Yingjie Lei430.38
Shuicheng Yan59701359.54